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2 years ago

What is the area of the triangle?

Mathematics

2 answers:

garri49 [273]2 years ago

7 0

40 right? Because base times height divided by two is area of a triangle

yawa3891 [41]2 years ago

3 0

Answer:

Step-by-step explanation:

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In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1

svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$1)\, XY=XZ$ Given

$2) \text{ $ m\angle Y= m\angle Z$}$ Isosceles Triangle Theorem

$\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}$ Angle Addition

$\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}$ Given

$5) \text{ $m\angle XYQ=m\angle QYZ$}$ Definition of Bisector

$\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}$ Substitution

$7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}$ Angle Addition

$8)\text{ $ZP$ bisects $\angle XZY$}$ Given

$\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }$ Definition of Bisector

$\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}$ Substitution

$11)\text{ } 2m\angle QYZ=2m\angle PZY$ Substitution

$12)\text{ }m\angle QYZ=m\angle PZY$ Division Property of Equality

$13)\text{ } YZ=YZ$ Reflexive Property

$14)\text{ } \Delta YZP\cong\Delta ZYQ$ Angle-Side-Angle Congruence*

$15)\text{ } YQ=ZP$ CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

5 0

2 years ago

Read 2 more answers

6. A piece of cardboard is cut in an L-shape as

andrey2020 [161]

Answer: a= 120

Step-by-step explanation:A = height times width, 10 times 12 is 120 :)

3 0

2 years ago

What are the coordinates of the image of the point (2, –6) under a dilation with a center of (0, 0) and a scale factor of 1/2

ycow [4]

That would be (1, -3) because you basically divide the coordinates by the scale factor, in this case 2.

8 0

2 years ago

What is the coordinates of {2, 1} and {2, 4}?

blondinia [14]

Xm=(2+2)/2=2 Ym=(1+4)/2=2.5 (2,2.5)

7 0

3 years ago

What number is half-way between thirteen and thirty-one

mars1129 [50]

$\frac{13 + 31}{2} = \frac{44}{2} = 21$

Answer: 21

3 0

3 years ago